Abstract
We present a numerical method for the approximation of microstructure in martensitic crystals by piecewise laminates, and we give computational results for several three-dimensional models of martensitic microstructure by using piecewise second-order laminates.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 293-308 |
| Number of pages | 16 |
| Journal | Journal of Scientific Computing |
| Volume | 19 |
| Issue number | 1-3 |
| DOIs | |
| State | Published - Dec 2003 |
Bibliographical note
Funding Information:This work was supported in part by NSF DMS 95-05077, by NSF DMS-0074043, by AFOSR F49620-98-1-0433, by the Institute for Mathematics and Its Applications, by the Institute for Pure and Applied Mathematics, by the Minnesota Supercomputer Institute, and by GA AV Cˇ R Grant no. A 107 5005.
Keywords
- Finite element
- Laminate
- Martensite
- Microstructure
- Rank-one convexiflcation
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